Highest Common Factor of 459, 850, 384 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 459, 850, 384 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 459, 850, 384 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 459, 850, 384 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 459, 850, 384 is 1.
HCF(459, 850, 384) = 1
HCF of 459, 850, 384 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 459, 850, 384 is 1.
Highest Common Factor of 459,850,384 is 1
Step 1: Since 850 > 459, we apply the division lemma to 850 and 459, to get
850 = 459 x 1 + 391
Step 2: Since the reminder 459 ≠ 0, we apply division lemma to 391 and 459, to get
459 = 391 x 1 + 68
Step 3: We consider the new divisor 391 and the new remainder 68, and apply the division lemma to get
391 = 68 x 5 + 51
We consider the new divisor 68 and the new remainder 51,and apply the division lemma to get
68 = 51 x 1 + 17
We consider the new divisor 51 and the new remainder 17,and apply the division lemma to get
51 = 17 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 459 and 850 is 17
Notice that 17 = HCF(51,17) = HCF(68,51) = HCF(391,68) = HCF(459,391) = HCF(850,459) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 384 > 17, we apply the division lemma to 384 and 17, to get
384 = 17 x 22 + 10
Step 2: Since the reminder 17 ≠ 0, we apply division lemma to 10 and 17, to get
17 = 10 x 1 + 7
Step 3: We consider the new divisor 10 and the new remainder 7, and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 17 and 384 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(384,17) .
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Frequently Asked Questions on HCF of 459, 850, 384 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 459, 850, 384?
Answer: HCF of 459, 850, 384 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 459, 850, 384 using Euclid's Algorithm?
Answer: For arbitrary numbers 459, 850, 384 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.